Question 006: Complete the following question involving Trigonometric Substitution Given the following integral dx Vx2 + 16 Determine the Trigonometric Substitution formulas that need to be used for this integral. A 4tan(e) 4sec2(e) de dx x2+ 16 16sec?(e) A 16 16tan(e) 16sec?(e) de xp x2 + 16 256sec-(e) A 3. 3sec(e) dx 3sec(e)tan(e) de x2 - 16 9tan-(e) A 4 sin(e) dx cos(e) de 9 x2+ 16 cos(e) 16

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Question 006: Complete the following question involving Trigonometric Substitution
Given the following integral
dx
Vx2 + 16
Determine the Trigonometric Substitution formulas that need to be used for this integral.
A
4tan(e)
4sec2(e) de
dx
x2+ 16
16sec2(e)
A
16
16tan(e)
16sec?(e) de
dx
x2 + 16
256sec-(e)
A
3.
3sec(e)
dx
3sec(e)tan(e) de
x2 - 16
9tan-(e)
A
4
sin(e)
dx
cos(e) de
x2+ 16
9.
cos?(e)
16
Transcribed Image Text:Question 006: Complete the following question involving Trigonometric Substitution Given the following integral dx Vx2 + 16 Determine the Trigonometric Substitution formulas that need to be used for this integral. A 4tan(e) 4sec2(e) de dx x2+ 16 16sec2(e) A 16 16tan(e) 16sec?(e) de dx x2 + 16 256sec-(e) A 3. 3sec(e) dx 3sec(e)tan(e) de x2 - 16 9tan-(e) A 4 sin(e) dx cos(e) de x2+ 16 9. cos?(e) 16
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